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Accuracy
how close to true value
precision
how close values are to eachother
Methods for Accuracy
Reference Material (confidence interval)
Gold Standard (F test and T test)
Spiking (known analyte amount)
Sensitivity
how small changes in concentration result in big changes of signal
selectivity/specificity
ability of method to distinguish between analyte and other things
Robustness
ability of method to be unaffected by small changes in parameters
Method Validation
process of proving an analytical method is acceptable for its intended purpose
Method Validation Requirements
Accuracy, precision, specificity, robustness,range, limit of detection, limit of quantification, linearity
Instrument Precision
measure the same samples many times
Intra-Assay Precision
analyze same sample many times bit same person, instrument, and reagents in aliquots
Intermediate Precision
Analyze same sample many times but w/ different person, instrument, reagents, ady (within same lab)
Interlaboratory Precision
Analyzing same sample in different lab using same protocol
Horwitz Trumpet
As concentration decreases, the precision becomes worse
Determining specificity with Interference
10 to 100 x higher than analyte solution
Robustness Determination
change environmental conditions (1 mmol to 1.1 mmol reagent)
Limit of Detection
lowest limit to determine if analyte is present or not (3x standard deviation of blank)
Limit of quantificaiton
lowest limit that the concentration of analyte can be determined (10x stdev of blank)
Determining Range
concentration interval with acceptable quality characteristics
Reporting Limit
concentration below which regulations say that analyte reported as “ND” (not dtected) eben when it is observed
Results of Assay with ONLY Random errors
Gaussian Distribution
Coefficient of Variation (RSD)
100 x (stdev/mean)
Grubbs Test
How to determine outliers —> (questionable value- mean) / stdev —> Gcalc>Gtable BAD
HOW TO CALIBRATE SYSTEM
Calibration curve, standard edition method, internal standard
Calibration Curve
signal comes from just analyte (NO MATRIX EFFECTS)
Standard edition method
Matrix effects, marking or pretreatment
Internal Standard Method
typically Chromatography , when samples test during preparation if samples and changes of experimental conditions
Least Square Method
minimizes total residual error, line of best fit
Steps for Calculating Uncertainty
take 3+ trials, check for outliers, take average + standard dev, subtract blank, plot data, linst method w/ uncertainties , R² (1 non 9 digit)
STDev Rules
2 significant digits, round data point to same # decimals as stdev
Blank Solutions
prepared with same reagents + solvents to prepare standards and unknowns ,same matrix, but no analyte
Signal point standard addition method
I(x)/I(x+s)= [x]i /([x]f -[s]f)
Multiple Standard Edition Method
multiple flasks w/ same amount of unknown, add varying amounts of standard leaving 1 with only unknown, dilute samples to same final volume with other reagents
Internal Standard method
known amount of a compound that is added to a compound (not analyte), Ax/[x] =F (Ais/[IS])
response factor F —> relative response to analyte
Quality Assurance
what we do to get the right answer for our purpose —> check if product meets specific specifications
Use objectives
from which specifications for data quality can be derived
specifications
could include requirements for sampling, accuracy, precision, specificity, detection limit, standards, and blank values
Asssessment
process of 1) collecting data to show procedures are operating within specified limits an 2) verifying final results meet use objectives
Specifications include
sampling requirements, accuracy+precision, rate of false results, selectivity and sensitivity, acceptable blanks, spike recovery, calibration checks, quality control samples
Sampling requirements
representative samples and analyte must be preserved
Accuracy and Precision
within practical restraints what level if accuracy and precision meet requirements
False Positive
implies concentration exceeds limit when it is below
False Negative
implies concentration is less than limit when it is above
Blanks account for ___
intereference, traces of analyte in reagents, detect analyte from previous samples due to adhering to vessels or instruments
Method Blank
similar matrix sample run through whole method of analysis
Reagent Blank
just reagents that are used in samples
Field Blanks
follow all steps (including storage) and methods and reagents
Spike Recovery
ability of methods to differentiate known concentrations of samples, % recovery = (Cspike-Cunspiked)/Cadded x 100
How often should calibration checks be done?
1x per day (more often for less robust methods), initial calibration standards cannot be reused throughout day, calibration check w/ standards every ~10 samples
Quality Control
helps eliminate bias from analyte (solution of known concentration but not to the analyst)
Control Charts
visual representation of confidence intervals for measurements having a gaussian distribution (ACTION LINE mean ± 3stdev : Warning line mean ± 2 stdev)
Standard Operating Procedure
MUST BE FOLLOWED WITHOUT DEVIATIONS
What methods measure current?
Voltammetry and Amperometry
What methods measure voltage?
potentiometry
What methods measure resistance?
Spectrometry
Working Electrode
where redox reaction occurs, or interaction of analyte
Reference Electrode
Electrode w/ fixed reference potentital
Counter Electrode
electrode where opposite electrochemical process to close the circuit (CARBON + Platinum), BIGGER than WE
Metal Electrodes
electrode potential in redox reactions
Ion-selective Electrode
interaction of analyte (POTENTIOMETRY)
Indicator Electrodes
Gold, platinum, carbon —> needs to be inert (current cannot be contributed by electrides having a reaction)
Types of RE
Standard Hydrogen Electrode (has 0 potential, difficult to set up/use)
Silver/Silver chloride
Saturated calomel
Potentials
E = Ewe- Ere
Ion-Selective Electrodes
NO REDOX RXN —> interactions w/ analyte (liquid based I-S, solid-state I-s, compound electrode)
Potentiometry
Potential difference —> 2 reference electrodes
Ligand Selection
Forms complex based on charge and size
Glass Electrode
2 reference electrodes measure elec. potential, hydrated glass form gel, difference in concentration b/w inner/ outer solutions causes potential difference
Errors in pH Measurement
standards (±0.01), junction potential, junction potential drift, sodium error (>14), acid error (<1), equilibration time, hydration of glass, temperature, cleaning
Response of Electrode
E= constant -0.05916log[A]
Solid-State ISE
inorganic crystals (fluoride electrode), crystal of LaF3 doped w/ Eu2+ —> fluoride ions move to vacant spots and ump out of crystal
Liquid-Based ISE
hydrophobe membrane w/ ionophone (Ligand) is selective for analyte, responds to free/uncomplexed ions
Compound Electrodes
pH electrode surrounded by membrane, only analyte passes through, can be used to measure gas in solution (?), analyte changes pH of inner solution, detected by pH electrode
Solid-State Chemical Sensors
n-type (excess conduction e-, silicon- and phosphorus+) and p-type (excess holes , silicon + and aluminum-)
Field Effect Transistor (FET)
constructed of p-silicon base and 2 n-type regions
Electrolysis
the process in which a chemical reaction is forced to occur @ an electrode by an applied voltage
ELECTROLYSIS EQ
Ecell=E(cath)-E(anode)-IR-overpotential
Overpotential
voltage required to overcome the activation energy of an electrode rxn
ohmic potential (IR)
voltage needed to overcome internal resistance of the cell
Concentration Polarization
occurs when the concentration of electroactive species near an electrode is not the same as its concentration in bulk solution
Coulometry (chronoamperometry)
coulometric (constant current) titration the time needs to be complete reaction measures the number of electrons consumed
How can you reduce ohmic potential?
add salts
Amperometry
current @ WE is proportional to analyte concentration, potential is set to specific value and measured after addition of sample
Diffusion Current
limiting current determined by rate of diffusion
Mediator
employed to shuttle e- between electrode and analyte
Voltammetry
measures current, collection of method in which the dependence of current on the applied potential of WE is observed
Faraday Current
comes from redox rxn (WANT)
Capacative current
flow of ions to electrode whenever potential is changed
residual current
oxidation/reduction of other species in solution
stripping
concentrated analyte into film.single drop by reduction @ fixed voltage for fixed time
Spectrophotometry Eq’s
Transmittance =P/p0
Absorbance = -logT
What does choosing cuvette type depend on?
wavelength cuvette absorbs
S1
singlet excited state
T1
triplet excited state
S0
ground state
S1-S0
internal conversion, heat release
S1-T1
Intersystem conversion, phosphorescence
S1 —> ground
fluorescence
Difficulty frmo T1→S0
must switch spin state
Phosphorescence vs Fluorescence
Fluorescence has larger E gaps —> smaller wavelength
Phosphorescence slower
Luminescence
emission of light (fluorescence, phosphorescence, chemiluminescence, electro-chemi luminescence)
more sensitive than absorbance
What causes more fluorescnce?
rigid molecules